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Question

A bag contains 5 red balls and some blue balls.If the probability of drawing a blue ball from the bag is four times that of red ball,find the number of blue balls in the bag.

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Solution

Let the number of blue balls be x

So total number of balls =5+x

P(probability of drawing a red ball from the bag)=55+x

P(probability of drawing a blue ball from the bag)=455+x

ATQ,

x5+x=455+x

x5+x=205+x

5x+x2=100+20x

x215x+100=0

(x20)(x+5)=0

So x5

Therefore No. Of blue balls =20



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